Super ! ! I. Process
When you describe a process you go step by step explaining what you do or how the process takes place. For this kind of writing you will need time markers as: first, second, third, then, later, after, before, etc. You also might use verbs in infinitive form to explain what process you are going through or you are seeing.
Follow these steps:
1. Read the instructions, cut them and paste them to your wiki. Underline the words that are time markers.
2. Play and try to explain why the magic trick worked.
3. Check the explanation below the trick. Was it the one you were thinking of? Explain.
An Arithmetic Magic Trick
Think of a 2-digit integer. Subtract from the number the sum of its digits and find the result in the table below. Note that each cell of the table contains a number and a geometric shape. Concentrate hard on the shape that shares a cell with the result of your calculations. When ready, press the "Check it!" button ... Good
Answer:
This is because when you have a whole number and this is the absolute value remains the same, the result will always be a multiple of 9. The figures of the multiples of 9 will always be the same.
2- This trick can be explained using an important algebraic theorem that says that the difference between a 2-digit integrer and the sum of its digits can always be divided by nine. It is uually said in a shorter way using this words:" Every 2-digits integrer a is congruent with the sum of its digits module nine", where "being congruent" means the difference a - (the sum of its digits) its a multiple of nine. This is an useful theorem that can be proved using some properties congruence relations. Then, knowing it, you can notice all the multiples of nine are related to he same oval shape, so, this trick can not fail.
3.- Yes, it is exactly what I havehad suppossed would be the answer. Super
I. Process
When you describe a process you go step by step explaining what you do or how the process takes place. For this kind of writing you will need time markers as: first, second, third, then, later, after, before, etc. You also might use verbs in infinitive form to explain what process you are going through or you are seeing.
II. Assignment
Check the following web page in which you have a magic trick.
http://www.cut-the-knot.org/Curriculum/Magic/MindReaderNine.shtml
Follow these steps:
1. Read the instructions, cut them and paste them to your wiki. Underline the words that are time markers.
2. Play and try to explain why the magic trick worked.
3. Check the explanation below the trick. Was it the one you were thinking of? Explain.
An Arithmetic Magic Trick
Think of a 2-digit integer. Subtract from the number the sum of its digits and find the result in the table below. Note that each cell of the table contains a number and a geometric shape. Concentrate hard on the shape that shares a cell with the result of your calculations. When ready, press the "Check it!" button ...
Good
Answer:
This is because when you have a whole number and this is the absolute value remains the same, the result will always be a multiple of 9. The figures of the multiples of 9 will always be the same.
2- This trick can be explained using an important algebraic theorem that says that the difference between a 2-digit integrer and the sum of its digits can always be divided by nine. It is uually said in a shorter way using this words:" Every 2-digits integrer a is congruent with the sum of its digits module nine", where "being congruent" means the difference a - (the sum of its digits) its a multiple of nine. This is an useful theorem that can be proved using some properties congruence relations. Then, knowing it, you can notice all the multiples of nine are related to he same oval shape, so, this trick can not fail.
3.- Yes, it is exactly what I have had suppossed would be the answer. Super